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The following data for the activities of a project are available:

ACTIVITY IMMEDIATE PREDECESSOR DURATION (DAYS) A - 6 B - 4 C - 7 D A,B,C 5 E A,B,C 6 F D 9 G E 4 H F,G 8 I F,G 6 J H 7

Required: i. Draw the network, number the nodes, find the project completion time and calculate total, free and independent floats for the activities ii. When the activity duration of G is doubled, identify the critical path

ACTIVITY IMMEDIATE PREDECESSOR DURATION (DAYS) A - 6 B - 4 C - 7 D A,B,C 5 E A,B,C 6 F D 9 G E 4 H F,G 8 I F,G 6 J H 7

Required: i. Draw the network, number the nodes, find the project completion time and calculate total, free and independent floats for the activities ii. When the activity duration of G is doubled, identify the critical path

A school psychologist believes that a popular new hypnosis technique increases depression. The psychologist collects a sample of 22 students and gives them the hypnosis once a week for two months. Afterwards the students fill out a depression inventory in which their average score was 46.62. Normal individuals in the population have a depression inventory average of 49 with a variance of 169.00. What can the psychologist conclude with an α of 0.01?

a) What is the appropriate test statistic?

b)

Population:

Sample:

c) Compute the appropriate test statistic(s) to make a decision about H0.

(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)

critical value =

; test statistic =

a) What is the appropriate test statistic?

b)

Population:

Sample:

c) Compute the appropriate test statistic(s) to make a decision about H0.

(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)

critical value =

; test statistic =

a sales girl gave a change of 1.15 to a customer instead of 1.25. calculate her percentage error

For the equation y = 5 + 4x^2 + 5x^3

(a) Find the equation for the linear approximation when x = 3.

(b) Find the equation for the quadratic approximation, also when x = 3.

(a) Find the equation for the linear approximation when x = 3.

(b) Find the equation for the quadratic approximation, also when x = 3.

For the equation y = 2 + 3 + 4x^2 + 5x^3

(a) Find the equation for the linear approximation when x = 3.

(b) Find the equation for the quadratic approximation, also when x = 3.

(a) Find the equation for the linear approximation when x = 3.

(b) Find the equation for the quadratic approximation, also when x = 3.

For the equation y = 2 + 3 + 4x2 + 5x3

(a) Find the equation for the linear approximation when x = 3.

(b) Find the equation for the quadratic approximation, also when x = 3.

(a) Find the equation for the linear approximation when x = 3.

(b) Find the equation for the quadratic approximation, also when x = 3.

Write abstract of Runge Kutta Method and Runge Kutta Fehlberg Method.

Define local truncation error.

What is difference between local error and global error?

Define Local Error and Global Error.